2022
DOI: 10.1103/physrevresearch.4.033154
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Measurements as a roadblock to near-term practical quantum advantage in chemistry: Resource analysis

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Cited by 64 publications
(40 citation statements)
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“…As such, they are not guaranteed to yield better approximations with respect to classical methods. Moreover, as the molecule size increases, VQE requires a larger number of sub cycles for Hamiltonian averaging (because of more terms in the Hamiltonian), projecting to unfeasibly long runtime for systems of practical importance [ 90 , 102 , 106 , 107 ]. In addition, the training/optimization of the ansatz parameters (the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} }{}$\boldsymbol{\theta}$\end{document} in Figure 3 ) has already been proven to be nondetermistic polynomial-time hard (NP-hard) [ 108 ].…”
Section: Quantum Algorithms For the Molecular Modelling Of Biomoleculesmentioning
confidence: 99%
“…As such, they are not guaranteed to yield better approximations with respect to classical methods. Moreover, as the molecule size increases, VQE requires a larger number of sub cycles for Hamiltonian averaging (because of more terms in the Hamiltonian), projecting to unfeasibly long runtime for systems of practical importance [ 90 , 102 , 106 , 107 ]. In addition, the training/optimization of the ansatz parameters (the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} }{}$\boldsymbol{\theta}$\end{document} in Figure 3 ) has already been proven to be nondetermistic polynomial-time hard (NP-hard) [ 108 ].…”
Section: Quantum Algorithms For the Molecular Modelling Of Biomoleculesmentioning
confidence: 99%
“…However, it is expected that this barrier will naturally be addressed as quantum hardware matures. Another relates to the number of measurements required by VQS algorithms to attain chemical accuracy competitive with existing classical simulation techniques [ 148 , 149 ]. Fortunately, substantial recent work suggests that this measurement problem may not be insurmountable [ 150 153 ].…”
Section: The Pursuit Of Nisq Advantagesmentioning
confidence: 99%
“…The efficacy of these approaches has been demonstrated in ref. 85. Such techniques are in particular important in light of stochastic errors when sampling the RDMs.…”
Section: Introductionmentioning
confidence: 99%